# Simplify (5x^2y)^2(2xy^3z)^3(4xyz)

Rewrite using the commutative property of multiplication.
Use the power rule to distribute the exponent.
Apply the product rule to .
Apply the product rule to .
Multiply by by adding the exponents.
Move .
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Raise to the power of .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply by .
Multiply by by adding the exponents.
Move .
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Use the power rule to distribute the exponent.
Apply the product rule to .
Apply the product rule to .
Apply the product rule to .
Multiply by by adding the exponents.
Move .
Use the power rule to combine exponents.
Add and .
Multiply by by adding the exponents.
Move .
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Raise to the power of .
Multiply the exponents in .
Apply the power rule and multiply exponents, .
Multiply by .
Multiply by by adding the exponents.
Move .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by .
Simplify (5x^2y)^2(2xy^3z)^3(4xyz)

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